Answer:
Ok, so we have a square with sides of 14 inches. :)
The diagonal splits the square into two by the corners, so it forms two right triangles!
We can use the Pythagorean theorem on the right triangle to get:
14^2 + 14^2 = x^2
BTW, x is the length of the diagonal :)
So, 196 + 196 = x^2 = 392
Sooo, x is just the square root of 392 :)
= 19.7989898732, which rounds to 20
Answer:
The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.
Step-by-step explanation:
Given:
Cost of scarf = $12.45.
Cost of necklace = $35.65.
State tax charges sale tax = 8%.
Now, to find the sales tax paid on the gifts.
So, adding the price of the gifts:
Thus, the total amount of the gifts = $48.10.
Now, getting the sales tax the state charges:
<em><u>The tax nearest to cent = $3.85</u></em>
Therefore, the tax Jenna and Richie pay on the gifts is $3.85.
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) =
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = () + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases